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- Title
Extension of a Unique Solution in Generalized Neutrosophic Cone Metric Spaces.
- Authors
Ishtiaq, Umar; Asif, Muhammad; Hussain, Aftab; Ahmad, Khaleel; Saleem, Iqra; Al Sulami, Hamed
- Abstract
In order to solve issues that arise in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization issues, equilibrium problems, complementarity issues, selection and matching problems, and issues proving the existence of solutions to integral and differential equations, fixed point theory provides vital tools. In this study, we discuss topological structure and several fixed-point theorems in the context of generalized neutrosophic cone metric spaces. In these spaces, the symmetric properties play an important role. We examine the existence and a uniqueness of a solution by utilizing new types of contraction mappings under some circumstances. We provide an example in which we show the existence and a uniqueness of a solution by utilizing our main result. These results are more generalized in the existing literature.
- Subjects
METRIC spaces; MATHEMATICAL analysis; CONES; DIFFERENTIAL equations; COMPLEMENTARITY constraints (Mathematics); INTEGRAL equations; LINEAR complementarity problem
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 1, p94
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15010094